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A line is at a distance c from origin an...

A line is at a distance c from origin and meets axes in A an dB. The locus of the centre of the circle passing through O,A,B ais

A

`x^(-2)+y^(-2)=c^(-2)`

B

`x^(-2)+y^(-2)=2x^(-2)`

C

`x^(-2)+y^(-2)=3c^(-2)`

D

`x^(-2)+y^(-2)=4c^(-2)`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-CIRCLES-EXERCISE II
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  2. A rod PQ of length 2a sides with its ends on the axes the locus of the...

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  3. A line is at a distance c from origin and meets axes in A an dB. The l...

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  4. A right angled isosceles triangle is inscribed in the circle x^(2)+y^(...

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  5. If an equilateral triangle is inscribed in the circle x^(2)+y^(2)-6x-4...

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  6. The locus of the foot of the perpendicular drawn from orign to a varia...

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  7. A square is inscribed in the circlex^(2)+y^(2)-4x+6y-5=0 whose sides a...

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  8. A square is inscribed in the circel x^(2)+y^(2)-2x+7y-8=0 whose diagon...

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  9. The length of the tangent drawn to the circle x^(2)+y^(2)-2x+4y-11=0 f...

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  10. If (m(1),1//m(1)), i=1,2,3,4 are concyclic points, then the value of m...

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  11. The equation of the image of the circle x^(2)+y^(2)-6x-4y+12=0 by the ...

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  12. The area bounded by circles x^(2)+y^(2)=r^(2), r=1,2 and rays given by...

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  13. The shortest distance from (-2,14) to the circle x^(2)+y^(2)-6x-4y-12=...

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  14. The longest distance from (-3,2) to the circle

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  15. If the line y=2x+c is a tangent to the circle x^(2)+y^(2)=5 then a val...

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  16. The sum of the minimum and maximum distances of the point (4,-3) to th...

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  17. If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then th...

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  18. The nearest point on the circle x^(2)+y^(2)-6x+4y-12=0 from (-5,4) is

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  19. The least distance of the line 8x-4y+73=0 from the circle 16x^(2)+16y^...

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  20. If d(1) and d(2) are the longest the shortest distance of (-7,2) from ...

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